# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t45_gr_free0, conjecture, ![X1]:(v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>u1_struct_0(k3_gr_free0(X1,X2))=k1_tarski(k1_group_1(k3_gr_free0(X1,X2))))), file('gr_free0/gr_free0__t45_gr_free0', t45_gr_free0)).
fof(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('gr_free0/gr_free0__t45_gr_free0', t6_boole)).
fof(cc7_relat_1, axiom, ![X1]:(v1_xboole_0(X1)=>![X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>((v1_xboole_0(X2)&v1_relat_1(X2))&v4_relat_1(X2,X1)))), file('gr_free0/gr_free0__t45_gr_free0', cc7_relat_1)).
fof(free_g3_algstr_0, axiom, ![X1, X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X3, X4]:(g3_algstr_0(X1,X2)=g3_algstr_0(X3,X4)=>(X1=X3&X2=X4))), file('gr_free0/gr_free0__t45_gr_free0', free_g3_algstr_0)).
fof(dt_k3_algstr_4, axiom, ![X1, X2]:((((((l3_algstr_0(X1)&v1_partfun1(X2,u1_struct_0(X1)))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>((v1_funct_1(k3_algstr_4(X1,X2))&v1_funct_2(k3_algstr_4(X1,X2),k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2)))&m1_subset_1(k3_algstr_4(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2)))))), file('gr_free0/gr_free0__t45_gr_free0', dt_k3_algstr_4)).
fof(rc1_tops_5, axiom, ![X1, X2]:?[X3]:(((((v1_xboole_0(X3)&v1_relat_1(X3))&v4_relat_1(X3,X1))&v5_relat_1(X3,X2))&v1_funct_1(X3))&v2_funct_1(X3)), file('gr_free0/gr_free0__t45_gr_free0', rc1_tops_5)).
fof(dt_k10_monoid_0, axiom, ![X1]:(((~(v2_struct_0(k10_monoid_0(X1)))&v22_algstr_0(k10_monoid_0(X1)))&v4_vectsp_1(k10_monoid_0(X1)))&m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), file('gr_free0/gr_free0__t45_gr_free0', dt_k10_monoid_0)).
fof(dt_k9_monoid_0, axiom, ![X1]:(((((((~(v2_struct_0(k9_monoid_0(X1)))&v15_algstr_0(k9_monoid_0(X1)))&v1_group_1(k9_monoid_0(X1)))&v3_group_1(k9_monoid_0(X1)))&v2_monoid_0(k9_monoid_0(X1)))&v16_monoid_0(k9_monoid_0(X1)))&v17_monoid_0(k9_monoid_0(X1)))&l3_algstr_0(k9_monoid_0(X1))), file('gr_free0/gr_free0__t45_gr_free0', dt_k9_monoid_0)).
fof(d1_tarski, axiom, ![X1, X2]:(X2=k1_tarski(X1)<=>![X3]:(r2_hidden(X3,X2)<=>X3=X1)), file('gr_free0/gr_free0__t45_gr_free0', d1_tarski)).
fof(d3_eqrel_1, axiom, ![X1, X2]:((((v3_relat_2(X2)&v8_relat_2(X2))&v1_partfun1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1))))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))=>(X3=k7_eqrel_1(X1,X2)<=>![X4]:(m1_subset_1(X4,k1_zfmisc_1(X1))=>(r2_tarski(X4,X3)<=>?[X5]:(r2_hidden(X5,X1)&X4=k6_eqrel_1(X1,X1,X2,X5))))))), file('gr_free0/gr_free0__t45_gr_free0', d3_eqrel_1)).
fof(t4_subset, axiom, ![X1, X2, X3]:((r2_tarski(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))=>m1_subset_1(X1,X3)), file('gr_free0/gr_free0__t45_gr_free0', t4_subset)).
fof(dt_k7_eqrel_1, axiom, ![X1, X2]:((((v3_relat_2(X2)&v8_relat_2(X2))&v1_partfun1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1))))=>m1_subset_1(k7_eqrel_1(X1,X2),k1_zfmisc_1(k1_zfmisc_1(X1)))), file('gr_free0/gr_free0__t45_gr_free0', dt_k7_eqrel_1)).
fof(d5_algstr_4, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(((((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>k4_algstr_4(X1,X2)=g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),X2),k3_algstr_4(X1,X2)))), file('gr_free0/gr_free0__t45_gr_free0', d5_algstr_4)).
fof(cc1_algstr_4, axiom, ![X1]:(((~(v2_struct_0(X1))&v7_struct_0(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))=>(((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))=>(((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))))), file('gr_free0/gr_free0__t45_gr_free0', cc1_algstr_4)).
fof(fc3_gr_free0, axiom, (v1_relat_1(k1_gr_free0(k1_xboole_0))&v1_xboole_0(k1_gr_free0(k1_xboole_0))), file('gr_free0/gr_free0__t45_gr_free0', fc3_gr_free0)).
fof(dt_m1_monoid_0, axiom, ![X1]:(l3_algstr_0(X1)=>![X2]:(m1_monoid_0(X2,X1)=>l4_algstr_0(X2))), file('gr_free0/gr_free0__t45_gr_free0', dt_m1_monoid_0)).
fof(dt_k1_msualg_5, axiom, ![X1, X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))=>(((v1_partfun1(k1_msualg_5(X1,X2),X1)&v3_relat_2(k1_msualg_5(X1,X2)))&v8_relat_2(k1_msualg_5(X1,X2)))&m1_subset_1(k1_msualg_5(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X1))))), file('gr_free0/gr_free0__t45_gr_free0', dt_k1_msualg_5)).
fof(dt_k4_algstr_4, axiom, ![X1, X2]:((((((l3_algstr_0(X1)&v1_partfun1(X2,u1_struct_0(X1)))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>l3_algstr_0(k4_algstr_4(X1,X2))), file('gr_free0/gr_free0__t45_gr_free0', dt_k4_algstr_4)).
fof(fc3_algstr_4, axiom, ![X1, X2]:((((((l3_algstr_0(X1)&v1_partfun1(X2,u1_struct_0(X1)))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))=>v15_algstr_0(k4_algstr_4(X1,X2))), file('gr_free0/gr_free0__t45_gr_free0', fc3_algstr_4)).
fof(dt_k2_gr_free0, axiom, ![X1, X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>m1_subset_1(k2_gr_free0(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))))), file('gr_free0/gr_free0__t45_gr_free0', dt_k2_gr_free0)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('gr_free0/gr_free0__t45_gr_free0', dt_l4_algstr_0)).
fof(abstractness_v15_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>(v15_algstr_0(X1)=>X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('gr_free0/gr_free0__t45_gr_free0', abstractness_v15_algstr_0)).
fof(d4_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k3_gr_free0(X1,X2)=k4_algstr_4(k10_monoid_0(k1_gr_free0(X2)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t45_gr_free0', d4_gr_free0)).
fof(fc23_group_7, axiom, v1_group_7(k1_xboole_0), file('gr_free0/gr_free0__t45_gr_free0', fc23_group_7)).
fof(fc2_gr_free0, axiom, (((~(v2_struct_0(k10_monoid_0(k1_xboole_0)))&v7_struct_0(k10_monoid_0(k1_xboole_0)))&v22_algstr_0(k10_monoid_0(k1_xboole_0)))&v4_vectsp_1(k10_monoid_0(k1_xboole_0))), file('gr_free0/gr_free0__t45_gr_free0', fc2_gr_free0)).
fof(t61_monoid_0, axiom, ![X1]:((u1_struct_0(k10_monoid_0(X1))=k3_finseq_2(X1)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X1)),u1_struct_0(k10_monoid_0(X1))),u1_struct_0(k10_monoid_0(X1)),k2_zfmisc_1(k3_finseq_2(X1),k3_finseq_2(X1)),k3_finseq_2(X1),u2_algstr_0(k10_monoid_0(X1)),k11_monoid_0(X1)))&k5_struct_0(k10_monoid_0(X1))=k1_xboole_0), file('gr_free0/gr_free0__t45_gr_free0', t61_monoid_0)).
fof(redefinition_k8_eqrel_1, axiom, ![X1, X2]:((((v3_relat_2(X2)&v8_relat_2(X2))&v1_partfun1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1))))=>k8_eqrel_1(X1,X2)=k7_eqrel_1(X1,X2)), file('gr_free0/gr_free0__t45_gr_free0', redefinition_k8_eqrel_1)).
fof(t17_funct_7, axiom, k3_finseq_2(k1_xboole_0)=k1_tarski(k1_xboole_0), file('gr_free0/gr_free0__t45_gr_free0', t17_funct_7)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t45_gr_free0', redefinition_r2_tarski)).
fof(dt_k6_eqrel_1, axiom, ![X1, X2, X3, X4]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>m1_subset_1(k6_eqrel_1(X1,X2,X3,X4),k1_zfmisc_1(X2))), file('gr_free0/gr_free0__t45_gr_free0', dt_k6_eqrel_1)).
fof(t44_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k1_group_1(k3_gr_free0(X1,X2))=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k1_xboole_0)), file('gr_free0/gr_free0__t45_gr_free0', t44_gr_free0)).
fof(c_0_31, negated_conjecture, ~(![X1]:(v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>u1_struct_0(k3_gr_free0(X1,X2))=k1_tarski(k1_group_1(k3_gr_free0(X1,X2)))))), inference(assume_negation,[status(cth)],[t45_gr_free0])).
fof(c_0_32, plain, ![X129]:(~v1_xboole_0(X129)|X129=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
fof(c_0_33, negated_conjecture, (v1_xboole_0(esk1_0)&(((((((v1_relat_1(esk2_0)&v4_relat_1(esk2_0,esk1_0))&v1_funct_1(esk2_0))&v1_partfun1(esk2_0,esk1_0))&v1_group_7(esk2_0))&v2_group_7(esk2_0,esk1_0))&v3_group_7(esk2_0,esk1_0))&u1_struct_0(k3_gr_free0(esk1_0,esk2_0))!=k1_tarski(k1_group_1(k3_gr_free0(esk1_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_34, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_35, negated_conjecture, (v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_36, plain, ![X69, X70]:(((v1_xboole_0(X70)|(~v1_relat_1(X70)|~v4_relat_1(X70,X69))|~v1_xboole_0(X69))&(v1_relat_1(X70)|(~v1_relat_1(X70)|~v4_relat_1(X70,X69))|~v1_xboole_0(X69)))&(v4_relat_1(X70,X69)|(~v1_relat_1(X70)|~v4_relat_1(X70,X69))|~v1_xboole_0(X69))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc7_relat_1])])])])).
cnf(c_0_37, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_38, negated_conjecture, (esk1_0=k1_xboole_0), inference(spm,[status(thm)],[c_0_34, c_0_35])).
fof(c_0_39, plain, ![X112, X113, X114, X115]:((X112=X114|g3_algstr_0(X112,X113)!=g3_algstr_0(X114,X115)|(~v1_funct_1(X113)|~v1_funct_2(X113,k2_zfmisc_1(X112,X112),X112)|~m1_subset_1(X113,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X112,X112),X112)))))&(X113=X115|g3_algstr_0(X112,X113)!=g3_algstr_0(X114,X115)|(~v1_funct_1(X113)|~v1_funct_2(X113,k2_zfmisc_1(X112,X112),X112)|~m1_subset_1(X113,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X112,X112),X112)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_algstr_0])])])])).
fof(c_0_40, plain, ![X96, X97]:(((v1_funct_1(k3_algstr_4(X96,X97))|(~l3_algstr_0(X96)|~v1_partfun1(X97,u1_struct_0(X96))|~v3_relat_2(X97)|~v8_relat_2(X97)|~v1_algstr_4(X97,X96)|~m1_subset_1(X97,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X96),u1_struct_0(X96))))))&(v1_funct_2(k3_algstr_4(X96,X97),k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X96),X97),k8_eqrel_1(u1_struct_0(X96),X97)),k8_eqrel_1(u1_struct_0(X96),X97))|(~l3_algstr_0(X96)|~v1_partfun1(X97,u1_struct_0(X96))|~v3_relat_2(X97)|~v8_relat_2(X97)|~v1_algstr_4(X97,X96)|~m1_subset_1(X97,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X96),u1_struct_0(X96)))))))&(m1_subset_1(k3_algstr_4(X96,X97),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X96),X97),k8_eqrel_1(u1_struct_0(X96),X97)),k8_eqrel_1(u1_struct_0(X96),X97))))|(~l3_algstr_0(X96)|~v1_partfun1(X97,u1_struct_0(X96))|~v3_relat_2(X97)|~v8_relat_2(X97)|~v1_algstr_4(X97,X96)|~m1_subset_1(X97,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X96),u1_struct_0(X96))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_algstr_4])])])).
cnf(c_0_41, plain, (v1_xboole_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_42, negated_conjecture, (v4_relat_1(esk2_0,k1_xboole_0)), inference(rw,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_43, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_44, negated_conjecture, (v1_xboole_0(k1_xboole_0)), inference(rw,[status(thm)],[c_0_35, c_0_38])).
fof(c_0_45, plain, ![X116, X117]:(((((v1_xboole_0(esk7_2(X116,X117))&v1_relat_1(esk7_2(X116,X117)))&v4_relat_1(esk7_2(X116,X117),X116))&v5_relat_1(esk7_2(X116,X117),X117))&v1_funct_1(esk7_2(X116,X117)))&v2_funct_1(esk7_2(X116,X117))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_tops_5])])).
fof(c_0_46, plain, ![X1]:(((~v2_struct_0(k10_monoid_0(X1))&v22_algstr_0(k10_monoid_0(X1)))&v4_vectsp_1(k10_monoid_0(X1)))&m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), inference(fof_simplification,[status(thm)],[dt_k10_monoid_0])).
fof(c_0_47, plain, ![X1]:(((((((~v2_struct_0(k9_monoid_0(X1))&v15_algstr_0(k9_monoid_0(X1)))&v1_group_1(k9_monoid_0(X1)))&v3_group_1(k9_monoid_0(X1)))&v2_monoid_0(k9_monoid_0(X1)))&v16_monoid_0(k9_monoid_0(X1)))&v17_monoid_0(k9_monoid_0(X1)))&l3_algstr_0(k9_monoid_0(X1))), inference(fof_simplification,[status(thm)],[dt_k9_monoid_0])).
fof(c_0_48, plain, ![X71, X72, X73, X74, X75, X76]:(((~r2_hidden(X73,X72)|X73=X71|X72!=k1_tarski(X71))&(X74!=X71|r2_hidden(X74,X72)|X72!=k1_tarski(X71)))&((~r2_hidden(esk3_2(X75,X76),X76)|esk3_2(X75,X76)!=X75|X76=k1_tarski(X75))&(r2_hidden(esk3_2(X75,X76),X76)|esk3_2(X75,X76)=X75|X76=k1_tarski(X75)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])])).
fof(c_0_49, plain, ![X78, X79, X80, X81, X83, X85]:((((r2_hidden(esk4_4(X78,X79,X80,X81),X78)|~r2_tarski(X81,X80)|~m1_subset_1(X81,k1_zfmisc_1(X78))|X80!=k7_eqrel_1(X78,X79)|~m1_subset_1(X80,k1_zfmisc_1(k1_zfmisc_1(X78)))|(~v3_relat_2(X79)|~v8_relat_2(X79)|~v1_partfun1(X79,X78)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,X78)))))&(X81=k6_eqrel_1(X78,X78,X79,esk4_4(X78,X79,X80,X81))|~r2_tarski(X81,X80)|~m1_subset_1(X81,k1_zfmisc_1(X78))|X80!=k7_eqrel_1(X78,X79)|~m1_subset_1(X80,k1_zfmisc_1(k1_zfmisc_1(X78)))|(~v3_relat_2(X79)|~v8_relat_2(X79)|~v1_partfun1(X79,X78)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,X78))))))&(~r2_hidden(X83,X78)|X81!=k6_eqrel_1(X78,X78,X79,X83)|r2_tarski(X81,X80)|~m1_subset_1(X81,k1_zfmisc_1(X78))|X80!=k7_eqrel_1(X78,X79)|~m1_subset_1(X80,k1_zfmisc_1(k1_zfmisc_1(X78)))|(~v3_relat_2(X79)|~v8_relat_2(X79)|~v1_partfun1(X79,X78)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,X78))))))&((m1_subset_1(esk5_3(X78,X79,X80),k1_zfmisc_1(X78))|X80=k7_eqrel_1(X78,X79)|~m1_subset_1(X80,k1_zfmisc_1(k1_zfmisc_1(X78)))|(~v3_relat_2(X79)|~v8_relat_2(X79)|~v1_partfun1(X79,X78)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,X78)))))&((~r2_tarski(esk5_3(X78,X79,X80),X80)|(~r2_hidden(X85,X78)|esk5_3(X78,X79,X80)!=k6_eqrel_1(X78,X78,X79,X85))|X80=k7_eqrel_1(X78,X79)|~m1_subset_1(X80,k1_zfmisc_1(k1_zfmisc_1(X78)))|(~v3_relat_2(X79)|~v8_relat_2(X79)|~v1_partfun1(X79,X78)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,X78)))))&((r2_hidden(esk6_3(X78,X79,X80),X78)|r2_tarski(esk5_3(X78,X79,X80),X80)|X80=k7_eqrel_1(X78,X79)|~m1_subset_1(X80,k1_zfmisc_1(k1_zfmisc_1(X78)))|(~v3_relat_2(X79)|~v8_relat_2(X79)|~v1_partfun1(X79,X78)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,X78)))))&(esk5_3(X78,X79,X80)=k6_eqrel_1(X78,X78,X79,esk6_3(X78,X79,X80))|r2_tarski(esk5_3(X78,X79,X80),X80)|X80=k7_eqrel_1(X78,X79)|~m1_subset_1(X80,k1_zfmisc_1(k1_zfmisc_1(X78)))|(~v3_relat_2(X79)|~v8_relat_2(X79)|~v1_partfun1(X79,X78)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X78,X78))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_eqrel_1])])])])])).
fof(c_0_50, plain, ![X125, X126, X127]:(~r2_tarski(X125,X126)|~m1_subset_1(X126,k1_zfmisc_1(X127))|m1_subset_1(X125,X127)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
fof(c_0_51, plain, ![X104, X105]:(~v3_relat_2(X105)|~v8_relat_2(X105)|~v1_partfun1(X105,X104)|~m1_subset_1(X105,k1_zfmisc_1(k2_zfmisc_1(X104,X104)))|m1_subset_1(k7_eqrel_1(X104,X105),k1_zfmisc_1(k1_zfmisc_1(X104)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_eqrel_1])])).
cnf(c_0_52, plain, (X1=X2|g3_algstr_0(X1,X3)!=g3_algstr_0(X2,X4)|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_53, plain, (m1_subset_1(k3_algstr_4(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2))))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_54, plain, (v1_funct_1(k3_algstr_4(X1,X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_55, plain, (v1_funct_2(k3_algstr_4(X1,X2),k2_zfmisc_1(k8_eqrel_1(u1_struct_0(X1),X2),k8_eqrel_1(u1_struct_0(X1),X2)),k8_eqrel_1(u1_struct_0(X1),X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_56, plain, ![X89, X90]:(~l3_algstr_0(X89)|(~v1_partfun1(X90,u1_struct_0(X89))|~v3_relat_2(X90)|~v8_relat_2(X90)|~v1_algstr_4(X90,X89)|~m1_subset_1(X90,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X89),u1_struct_0(X89))))|k4_algstr_4(X89,X90)=g3_algstr_0(k8_eqrel_1(u1_struct_0(X89),X90),k3_algstr_4(X89,X90)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_algstr_4])])])).
fof(c_0_57, plain, ![X1]:(((~v2_struct_0(X1)&v7_struct_0(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))=>(((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))=>(((v1_partfun1(X2,u1_struct_0(X1))&v3_relat_2(X2))&v8_relat_2(X2))&v1_algstr_4(X2,X1))))), inference(fof_simplification,[status(thm)],[cc1_algstr_4])).
cnf(c_0_58, negated_conjecture, (v1_xboole_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43]), c_0_44])])).
cnf(c_0_59, plain, (v1_xboole_0(esk7_2(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_60, plain, (v1_xboole_0(k1_gr_free0(k1_xboole_0))), inference(split_conjunct,[status(thm)],[fc3_gr_free0])).
fof(c_0_61, plain, ![X108, X109]:(~l3_algstr_0(X108)|(~m1_monoid_0(X109,X108)|l4_algstr_0(X109))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_monoid_0])])])).
fof(c_0_62, plain, ![X91]:(((~v2_struct_0(k10_monoid_0(X91))&v22_algstr_0(k10_monoid_0(X91)))&v4_vectsp_1(k10_monoid_0(X91)))&m1_monoid_0(k10_monoid_0(X91),k9_monoid_0(X91))), inference(variable_rename,[status(thm)],[c_0_46])).
fof(c_0_63, plain, ![X106]:(((((((~v2_struct_0(k9_monoid_0(X106))&v15_algstr_0(k9_monoid_0(X106)))&v1_group_1(k9_monoid_0(X106)))&v3_group_1(k9_monoid_0(X106)))&v2_monoid_0(k9_monoid_0(X106)))&v16_monoid_0(k9_monoid_0(X106)))&v17_monoid_0(k9_monoid_0(X106)))&l3_algstr_0(k9_monoid_0(X106))), inference(variable_rename,[status(thm)],[c_0_47])).
cnf(c_0_64, plain, (X1=X3|~r2_hidden(X1,X2)|X2!=k1_tarski(X3)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_65, plain, (r2_hidden(esk4_4(X1,X2,X3,X4),X1)|~r2_tarski(X4,X3)|~m1_subset_1(X4,k1_zfmisc_1(X1))|X3!=k7_eqrel_1(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_partfun1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_66, plain, (m1_subset_1(X1,X3)|~r2_tarski(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_67, plain, (m1_subset_1(k7_eqrel_1(X2,X1),k1_zfmisc_1(k1_zfmisc_1(X2)))|~v3_relat_2(X1)|~v8_relat_2(X1)|~v1_partfun1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_68, plain, (k8_eqrel_1(u1_struct_0(X1),X2)=X3|g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),X2),k3_algstr_4(X1,X2))!=g3_algstr_0(X3,X4)|~v1_algstr_4(X2,X1)|~v8_relat_2(X2)|~v3_relat_2(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_55])).
cnf(c_0_69, plain, (k4_algstr_4(X1,X2)=g3_algstr_0(k8_eqrel_1(u1_struct_0(X1),X2),k3_algstr_4(X1,X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_56])).
fof(c_0_70, plain, ![X92, X93]:((((v1_partfun1(k1_msualg_5(X92,X93),X92)|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(X92,X92))))&(v3_relat_2(k1_msualg_5(X92,X93))|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(X92,X92)))))&(v8_relat_2(k1_msualg_5(X92,X93))|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(X92,X92)))))&(m1_subset_1(k1_msualg_5(X92,X93),k1_zfmisc_1(k2_zfmisc_1(X92,X92)))|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(X92,X92))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_msualg_5])])])).
fof(c_0_71, plain, ![X98, X99]:(~l3_algstr_0(X98)|~v1_partfun1(X99,u1_struct_0(X98))|~v3_relat_2(X99)|~v8_relat_2(X99)|~v1_algstr_4(X99,X98)|~m1_subset_1(X99,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X98),u1_struct_0(X98))))|l3_algstr_0(k4_algstr_4(X98,X99))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_algstr_4])])).
fof(c_0_72, plain, ![X110, X111]:(~l3_algstr_0(X110)|~v1_partfun1(X111,u1_struct_0(X110))|~v3_relat_2(X111)|~v8_relat_2(X111)|~v1_algstr_4(X111,X110)|~m1_subset_1(X111,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X110),u1_struct_0(X110))))|v15_algstr_0(k4_algstr_4(X110,X111))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_algstr_4])])).
fof(c_0_73, plain, ![X67, X68]:((((v1_partfun1(X68,u1_struct_0(X67))|(~v1_partfun1(X68,u1_struct_0(X67))|~v3_relat_2(X68)|~v8_relat_2(X68))|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X67),u1_struct_0(X67))))|(v2_struct_0(X67)|~v7_struct_0(X67)|~l3_algstr_0(X67)))&(v3_relat_2(X68)|(~v1_partfun1(X68,u1_struct_0(X67))|~v3_relat_2(X68)|~v8_relat_2(X68))|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X67),u1_struct_0(X67))))|(v2_struct_0(X67)|~v7_struct_0(X67)|~l3_algstr_0(X67))))&(v8_relat_2(X68)|(~v1_partfun1(X68,u1_struct_0(X67))|~v3_relat_2(X68)|~v8_relat_2(X68))|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X67),u1_struct_0(X67))))|(v2_struct_0(X67)|~v7_struct_0(X67)|~l3_algstr_0(X67))))&(v1_algstr_4(X68,X67)|(~v1_partfun1(X68,u1_struct_0(X67))|~v3_relat_2(X68)|~v8_relat_2(X68))|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X67),u1_struct_0(X67))))|(v2_struct_0(X67)|~v7_struct_0(X67)|~l3_algstr_0(X67)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])).
fof(c_0_74, plain, ![X94, X95]:(~v1_relat_1(X95)|~v4_relat_1(X95,X94)|~v1_funct_1(X95)|~v1_partfun1(X95,X94)|~v1_group_7(X95)|~v2_group_7(X95,X94)|m1_subset_1(k2_gr_free0(X94,X95),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X95))),u1_struct_0(k10_monoid_0(k1_gr_free0(X95))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
cnf(c_0_75, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_76, negated_conjecture, (esk2_0=k1_xboole_0), inference(spm,[status(thm)],[c_0_34, c_0_58])).
cnf(c_0_77, plain, (v4_relat_1(esk7_2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_78, plain, (esk7_2(X1,X2)=k1_xboole_0), inference(spm,[status(thm)],[c_0_34, c_0_59])).
cnf(c_0_79, plain, (v1_relat_1(k1_gr_free0(k1_xboole_0))), inference(split_conjunct,[status(thm)],[fc3_gr_free0])).
cnf(c_0_80, plain, (k1_gr_free0(k1_xboole_0)=k1_xboole_0), inference(spm,[status(thm)],[c_0_34, c_0_60])).
fof(c_0_81, plain, ![X107]:((l3_struct_0(X107)|~l4_algstr_0(X107))&(l3_algstr_0(X107)|~l4_algstr_0(X107))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_82, plain, (l4_algstr_0(X2)|~l3_algstr_0(X1)|~m1_monoid_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_83, plain, (m1_monoid_0(k10_monoid_0(X1),k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_84, plain, (l3_algstr_0(k9_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_85, plain, (X1=k6_eqrel_1(X2,X2,X3,esk4_4(X2,X3,X4,X1))|~r2_tarski(X1,X4)|~m1_subset_1(X1,k1_zfmisc_1(X2))|X4!=k7_eqrel_1(X2,X3)|~m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))|~v3_relat_2(X3)|~v8_relat_2(X3)|~v1_partfun1(X3,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_86, plain, (X1=X2|~r2_hidden(X1,k1_tarski(X2))), inference(er,[status(thm)],[c_0_64])).
cnf(c_0_87, plain, (r2_hidden(esk4_4(X1,X2,k7_eqrel_1(X1,X2),X3),X1)|~r2_tarski(X3,k7_eqrel_1(X1,X2))|~v8_relat_2(X2)|~v3_relat_2(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))|~v1_partfun1(X2,X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_65, c_0_66])]), c_0_67])).
cnf(c_0_88, plain, (k8_eqrel_1(u1_struct_0(X1),X2)=X3|k4_algstr_4(X1,X2)!=g3_algstr_0(X3,X4)|~v1_algstr_4(X2,X1)|~v8_relat_2(X2)|~v3_relat_2(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_89, plain, (m1_subset_1(k1_msualg_5(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X1)))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_90, plain, (v1_partfun1(k1_msualg_5(X1,X2),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_91, plain, (v3_relat_2(k1_msualg_5(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_92, plain, (v8_relat_2(k1_msualg_5(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(split_conjunct,[status(thm)],[c_0_70])).
fof(c_0_93, plain, ![X66]:(~l3_algstr_0(X66)|(~v15_algstr_0(X66)|X66=g3_algstr_0(u1_struct_0(X66),u2_algstr_0(X66)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v15_algstr_0])])).
cnf(c_0_94, plain, (l3_algstr_0(k4_algstr_4(X1,X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_95, plain, (v15_algstr_0(k4_algstr_4(X1,X2))|~l3_algstr_0(X1)|~v1_partfun1(X2,u1_struct_0(X1))|~v3_relat_2(X2)|~v8_relat_2(X2)|~v1_algstr_4(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_72])).
fof(c_0_96, plain, ![X87, X88]:(~v1_relat_1(X88)|~v4_relat_1(X88,X87)|~v1_funct_1(X88)|~v1_partfun1(X88,X87)|~v1_group_7(X88)|~v2_group_7(X88,X87)|~v3_group_7(X88,X87)|k3_gr_free0(X87,X88)=k4_algstr_4(k10_monoid_0(k1_gr_free0(X88)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X88))),k2_gr_free0(X87,X88)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_gr_free0])])).
cnf(c_0_97, plain, (v1_algstr_4(X1,X2)|v2_struct_0(X2)|~v1_partfun1(X1,u1_struct_0(X2))|~v3_relat_2(X1)|~v8_relat_2(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2))))|~v7_struct_0(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_98, plain, (m1_subset_1(k2_gr_free0(X2,X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(X1))))))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_99, plain, (v1_group_7(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc23_group_7])).
cnf(c_0_100, negated_conjecture, (v1_funct_1(k1_xboole_0)), inference(rw,[status(thm)],[c_0_75, c_0_76])).
cnf(c_0_101, plain, (v4_relat_1(k1_xboole_0,X1)), inference(rw,[status(thm)],[c_0_77, c_0_78])).
cnf(c_0_102, plain, (v1_relat_1(k1_xboole_0)), inference(rw,[status(thm)],[c_0_79, c_0_80])).
fof(c_0_103, plain, (((~v2_struct_0(k10_monoid_0(k1_xboole_0))&v7_struct_0(k10_monoid_0(k1_xboole_0)))&v22_algstr_0(k10_monoid_0(k1_xboole_0)))&v4_vectsp_1(k10_monoid_0(k1_xboole_0))), inference(fof_simplification,[status(thm)],[fc2_gr_free0])).
cnf(c_0_104, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_105, plain, (l4_algstr_0(k10_monoid_0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84])])).
cnf(c_0_106, plain, (k6_eqrel_1(X1,X1,X2,esk4_4(X1,X2,k7_eqrel_1(X1,X2),X3))=X3|~r2_tarski(X3,k7_eqrel_1(X1,X2))|~v8_relat_2(X2)|~v3_relat_2(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))|~v1_partfun1(X2,X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_85, c_0_66])]), c_0_67])).
cnf(c_0_107, plain, (esk4_4(k1_tarski(X1),X2,k7_eqrel_1(k1_tarski(X1),X2),X3)=X1|~r2_tarski(X3,k7_eqrel_1(k1_tarski(X1),X2))|~v8_relat_2(X2)|~v3_relat_2(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(X1),k1_tarski(X1))))|~v1_partfun1(X2,k1_tarski(X1))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
fof(c_0_108, plain, ![X128]:((u1_struct_0(k10_monoid_0(X128))=k3_finseq_2(X128)&r1_funct_2(k2_zfmisc_1(u1_struct_0(k10_monoid_0(X128)),u1_struct_0(k10_monoid_0(X128))),u1_struct_0(k10_monoid_0(X128)),k2_zfmisc_1(k3_finseq_2(X128),k3_finseq_2(X128)),k3_finseq_2(X128),u2_algstr_0(k10_monoid_0(X128)),k11_monoid_0(X128)))&k5_struct_0(k10_monoid_0(X128))=k1_xboole_0), inference(variable_rename,[status(thm)],[t61_monoid_0])).
fof(c_0_109, plain, ![X119, X120]:(~v3_relat_2(X120)|~v8_relat_2(X120)|~v1_partfun1(X120,X119)|~m1_subset_1(X120,k1_zfmisc_1(k2_zfmisc_1(X119,X119)))|k8_eqrel_1(X119,X120)=k7_eqrel_1(X119,X120)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_eqrel_1])])).
cnf(c_0_110, plain, (k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2))=X3|k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2))!=g3_algstr_0(X3,X4)|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90]), c_0_91]), c_0_92])).
cnf(c_0_111, plain, (X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~l3_algstr_0(X1)|~v15_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_112, plain, (l3_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_89]), c_0_90]), c_0_91]), c_0_92])).
cnf(c_0_113, plain, (v15_algstr_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_89]), c_0_90]), c_0_91]), c_0_92])).
cnf(c_0_114, plain, (k3_gr_free0(X2,X1)=k4_algstr_4(k10_monoid_0(k1_gr_free0(X1)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)|~v3_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_96])).
cnf(c_0_115, plain, (v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|v2_struct_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~v7_struct_0(X1)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_89]), c_0_90]), c_0_91]), c_0_92])).
cnf(c_0_116, plain, (m1_subset_1(k2_gr_free0(X1,k1_xboole_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)))))|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_80]), c_0_99]), c_0_100]), c_0_101]), c_0_102])])).
cnf(c_0_117, plain, (v7_struct_0(k10_monoid_0(k1_xboole_0))), inference(split_conjunct,[status(thm)],[c_0_103])).
cnf(c_0_118, plain, (l3_algstr_0(k10_monoid_0(X1))), inference(spm,[status(thm)],[c_0_104, c_0_105])).
cnf(c_0_119, plain, (~v2_struct_0(k10_monoid_0(X1))), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_120, plain, (k6_eqrel_1(k1_tarski(X1),k1_tarski(X1),X2,X1)=X3|~r2_tarski(X3,k7_eqrel_1(k1_tarski(X1),X2))|~v8_relat_2(X2)|~v3_relat_2(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(X1),k1_tarski(X1))))|~v1_partfun1(X2,k1_tarski(X1))), inference(spm,[status(thm)],[c_0_106, c_0_107])).
cnf(c_0_121, plain, (k3_finseq_2(k1_xboole_0)=k1_tarski(k1_xboole_0)), inference(split_conjunct,[status(thm)],[t17_funct_7])).
cnf(c_0_122, plain, (u1_struct_0(k10_monoid_0(X1))=k3_finseq_2(X1)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_123, plain, (k8_eqrel_1(X2,X1)=k7_eqrel_1(X2,X1)|~v3_relat_2(X1)|~v8_relat_2(X1)|~v1_partfun1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_124, plain, (u1_struct_0(k4_algstr_4(X1,k1_msualg_5(u1_struct_0(X1),X2)))=k8_eqrel_1(u1_struct_0(X1),k1_msualg_5(u1_struct_0(X1),X2))|~v1_algstr_4(k1_msualg_5(u1_struct_0(X1),X2),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111])]), c_0_112]), c_0_113])).
cnf(c_0_125, plain, (k4_algstr_4(k10_monoid_0(k1_xboole_0),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)))=k3_gr_free0(X1,k1_xboole_0)|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_80]), c_0_99]), c_0_100]), c_0_101]), c_0_102])])).
cnf(c_0_126, plain, (v1_algstr_4(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),k10_monoid_0(k1_xboole_0))|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_116]), c_0_117]), c_0_118])]), c_0_119])).
cnf(c_0_127, plain, (k6_eqrel_1(k1_tarski(X1),k1_tarski(X1),k1_msualg_5(k1_tarski(X1),X2),X1)=X3|~r2_tarski(X3,k7_eqrel_1(k1_tarski(X1),k1_msualg_5(k1_tarski(X1),X2)))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k1_tarski(X1),k1_tarski(X1))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_89]), c_0_90]), c_0_91]), c_0_92])).
cnf(c_0_128, plain, (u1_struct_0(k10_monoid_0(k1_xboole_0))=k1_tarski(k1_xboole_0)), inference(rw,[status(thm)],[c_0_121, c_0_122])).
cnf(c_0_129, plain, (k8_eqrel_1(X1,k1_msualg_5(X1,X2))=k7_eqrel_1(X1,k1_msualg_5(X1,X2))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_89]), c_0_90]), c_0_91]), c_0_92])).
cnf(c_0_130, plain, (k8_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)))=u1_struct_0(k3_gr_free0(X1,k1_xboole_0))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_118])]), c_0_116]), c_0_126])).
cnf(c_0_131, plain, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),X1),k1_xboole_0)=X2|~r2_tarski(X2,k7_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),X1)))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)))))), inference(spm,[status(thm)],[c_0_127, c_0_128])).
cnf(c_0_132, plain, (k7_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)))=u1_struct_0(k3_gr_free0(X1,k1_xboole_0))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_130]), c_0_116])).
fof(c_0_133, plain, ![X121, X122]:((~r2_tarski(X121,X122)|r2_hidden(X121,X122))&(~r2_hidden(X121,X122)|r2_tarski(X121,X122))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_134, plain, ![X100, X101, X102, X103]:(~m1_subset_1(X102,k1_zfmisc_1(k2_zfmisc_1(X100,X101)))|m1_subset_1(k6_eqrel_1(X100,X101,X102,X103),k1_zfmisc_1(X101))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_eqrel_1])])).
cnf(c_0_135, plain, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),k1_xboole_0)=X2|~r2_tarski(X2,u1_struct_0(k3_gr_free0(X1,k1_xboole_0)))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_116])).
cnf(c_0_136, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_133])).
cnf(c_0_137, negated_conjecture, (v3_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_138, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_139, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_140, plain, (r2_tarski(X3,X5)|~r2_hidden(X1,X2)|X3!=k6_eqrel_1(X2,X2,X4,X1)|~m1_subset_1(X3,k1_zfmisc_1(X2))|X5!=k7_eqrel_1(X2,X4)|~m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2)))|~v3_relat_2(X4)|~v8_relat_2(X4)|~v1_partfun1(X4,X2)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X2)))), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_141, plain, (m1_subset_1(k6_eqrel_1(X2,X3,X1,X4),k1_zfmisc_1(X3))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_134])).
fof(c_0_142, plain, ![X123, X124]:(~v1_relat_1(X124)|~v4_relat_1(X124,X123)|~v1_funct_1(X124)|~v1_partfun1(X124,X123)|~v1_group_7(X124)|~v2_group_7(X124,X123)|~v3_group_7(X124,X123)|k1_group_1(k3_gr_free0(X123,X124))=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X124))),u1_struct_0(k10_monoid_0(k1_gr_free0(X124))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X124))),k2_gr_free0(X123,X124)),k1_xboole_0)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_gr_free0])])).
cnf(c_0_143, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_tarski(X2)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_144, plain, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),k1_xboole_0)=X2|~r2_hidden(X2,u1_struct_0(k3_gr_free0(X1,k1_xboole_0)))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(spm,[status(thm)],[c_0_135, c_0_136])).
cnf(c_0_145, plain, (r2_hidden(esk3_2(X1,X2),X2)|esk3_2(X1,X2)=X1|X2=k1_tarski(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_146, negated_conjecture, (v3_group_7(esk2_0,k1_xboole_0)), inference(rw,[status(thm)],[c_0_137, c_0_38])).
cnf(c_0_147, negated_conjecture, (v2_group_7(esk2_0,k1_xboole_0)), inference(rw,[status(thm)],[c_0_138, c_0_38])).
cnf(c_0_148, negated_conjecture, (v1_partfun1(esk2_0,k1_xboole_0)), inference(rw,[status(thm)],[c_0_139, c_0_38])).
cnf(c_0_149, plain, (r2_tarski(k6_eqrel_1(X1,X1,X2,X3),k7_eqrel_1(X1,X2))|~r2_hidden(X3,X1)|~v8_relat_2(X2)|~v3_relat_2(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X1)))|~v1_partfun1(X2,X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_140])]), c_0_141]), c_0_67])).
cnf(c_0_150, plain, (k1_group_1(k3_gr_free0(X2,X1))=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)),k1_xboole_0)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)|~v3_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_142])).
cnf(c_0_151, plain, (v3_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))|~v2_group_7(X1,X2)|~v1_group_7(X1)|~v1_partfun1(X1,X2)|~v1_funct_1(X1)|~v4_relat_1(X1,X2)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_91, c_0_98])).
cnf(c_0_152, plain, (v8_relat_2(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)))|~v2_group_7(X1,X2)|~v1_group_7(X1)|~v1_partfun1(X1,X2)|~v1_funct_1(X1)|~v4_relat_1(X1,X2)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_92, c_0_98])).
cnf(c_0_153, plain, (r2_hidden(X1,k1_tarski(X1))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_143])])).
cnf(c_0_154, plain, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),k1_xboole_0)=esk3_2(X2,u1_struct_0(k3_gr_free0(X1,k1_xboole_0)))|esk3_2(X2,u1_struct_0(k3_gr_free0(X1,k1_xboole_0)))=X2|u1_struct_0(k3_gr_free0(X1,k1_xboole_0))=k1_tarski(X2)|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(spm,[status(thm)],[c_0_144, c_0_145])).
cnf(c_0_155, negated_conjecture, (v3_group_7(k1_xboole_0,k1_xboole_0)), inference(rw,[status(thm)],[c_0_146, c_0_76])).
cnf(c_0_156, negated_conjecture, (v2_group_7(k1_xboole_0,k1_xboole_0)), inference(rw,[status(thm)],[c_0_147, c_0_76])).
cnf(c_0_157, negated_conjecture, (v1_partfun1(k1_xboole_0,k1_xboole_0)), inference(rw,[status(thm)],[c_0_148, c_0_76])).
cnf(c_0_158, negated_conjecture, (u1_struct_0(k3_gr_free0(esk1_0,esk2_0))!=k1_tarski(k1_group_1(k3_gr_free0(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_159, plain, (r2_tarski(k1_group_1(k3_gr_free0(X1,X2)),k7_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2))))|~r2_hidden(k1_xboole_0,u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))|~m1_subset_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_151]), c_0_152])).
cnf(c_0_160, plain, (r2_hidden(k1_xboole_0,u1_struct_0(k10_monoid_0(k1_xboole_0)))), inference(spm,[status(thm)],[c_0_153, c_0_128])).
cnf(c_0_161, plain, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),k1_xboole_0)=k1_group_1(k3_gr_free0(X1,k1_xboole_0))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_80]), c_0_99]), c_0_100]), c_0_101]), c_0_102])])).
cnf(c_0_162, negated_conjecture, (k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(k1_xboole_0,k1_xboole_0)),k1_xboole_0)=esk3_2(X1,u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0)))|esk3_2(X1,u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0)))=X1|u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0))=k1_tarski(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_156]), c_0_157])])).
cnf(c_0_163, negated_conjecture, (k1_tarski(k1_group_1(k3_gr_free0(k1_xboole_0,esk2_0)))!=u1_struct_0(k3_gr_free0(k1_xboole_0,esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158, c_0_38]), c_0_38])).
cnf(c_0_164, plain, (r2_tarski(k1_group_1(k3_gr_free0(X1,k1_xboole_0)),k7_eqrel_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0))))|~m1_subset_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)))))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)))|~v1_partfun1(k1_xboole_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_80]), c_0_160]), c_0_99]), c_0_100]), c_0_101]), c_0_102])])).
cnf(c_0_165, negated_conjecture, (esk3_2(X1,u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0)))=k1_group_1(k3_gr_free0(k1_xboole_0,k1_xboole_0))|esk3_2(X1,u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0)))=X1|u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0))=k1_tarski(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_155]), c_0_156]), c_0_157])])).
cnf(c_0_166, negated_conjecture, (k1_tarski(k1_group_1(k3_gr_free0(k1_xboole_0,k1_xboole_0)))!=u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163, c_0_76]), c_0_76])).
cnf(c_0_167, plain, (r2_tarski(k1_group_1(k3_gr_free0(X1,k1_xboole_0)),u1_struct_0(k3_gr_free0(X1,k1_xboole_0)))|~m1_subset_1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)))))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_msualg_5(u1_struct_0(k10_monoid_0(k1_xboole_0)),k2_gr_free0(X1,k1_xboole_0)),u1_struct_0(k10_monoid_0(k1_xboole_0)))|~v1_partfun1(k1_xboole_0,X1)), inference(spm,[status(thm)],[c_0_164, c_0_132])).
cnf(c_0_168, plain, (X2=k1_tarski(X1)|~r2_hidden(esk3_2(X1,X2),X2)|esk3_2(X1,X2)!=X1), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_169, negated_conjecture, (esk3_2(k1_group_1(k3_gr_free0(k1_xboole_0,k1_xboole_0)),u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0)))=k1_group_1(k3_gr_free0(k1_xboole_0,k1_xboole_0))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_165])]), c_0_166])).
cnf(c_0_170, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_133])).
cnf(c_0_171, plain, (r2_tarski(k1_group_1(k3_gr_free0(X1,k1_xboole_0)),u1_struct_0(k3_gr_free0(X1,k1_xboole_0)))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_89]), c_0_90]), c_0_116])).
cnf(c_0_172, negated_conjecture, (~r2_hidden(k1_group_1(k3_gr_free0(k1_xboole_0,k1_xboole_0)),u1_struct_0(k3_gr_free0(k1_xboole_0,k1_xboole_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_169]), c_0_166])).
cnf(c_0_173, plain, (r2_hidden(k1_group_1(k3_gr_free0(X1,k1_xboole_0)),u1_struct_0(k3_gr_free0(X1,k1_xboole_0)))|~v3_group_7(k1_xboole_0,X1)|~v2_group_7(k1_xboole_0,X1)|~v1_partfun1(k1_xboole_0,X1)), inference(spm,[status(thm)],[c_0_170, c_0_171])).
cnf(c_0_174, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_173]), c_0_155]), c_0_156]), c_0_157])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 175
# Proof object clause steps            : 112
# Proof object formula steps           : 63
# Proof object conjectures             : 30
# Proof object clause conjectures      : 27
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 52
# Proof object initial formulas used   : 31
# Proof object generating inferences   : 41
# Proof object simplifying inferences  : 106
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 31
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 82
# Removed in clause preprocessing      : 6
# Initial clauses in saturation        : 76
# Processed clauses                    : 850
# ...of these trivial                  : 6
# ...subsumed                          : 258
# ...remaining for further processing  : 586
# Other redundant clauses eliminated   : 40
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 32
# Backward-rewritten                   : 34
# Generated clauses                    : 1944
# ...of the previous two non-trivial   : 1894
# Contextual simplify-reflections      : 152
# Paramodulations                      : 1884
# Factorizations                       : 20
# NegExts                              : 0
# Equation resolutions                 : 42
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 442
#    Positive orientable unit clauses  : 36
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 402
# Current number of unprocessed clauses: 1174
# ...number of literals in the above   : 11295
# Current number of archived formulas  : 0
# Current number of archived clauses   : 140
# Clause-clause subsumption calls (NU) : 51597
# Rec. Clause-clause subsumption calls : 4475
# Non-unit clause-clause subsumptions  : 438
# Unit Clause-clause subsumption calls : 310
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 12
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 133684

# -------------------------------------------------
# User time                : 0.143 s
# System time              : 0.006 s
# Total time               : 0.150 s
# Maximum resident set size: 3468 pages
